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Atlas › Integer Profiles › Node 6,169,232

6,169,232

24 × 17 × 37 × 613
Abundant Even Composite

6,169,232 factors as 2^4 × 17 × 37 × 613. Its 40 positive divisors give a proper-divisor sum of 6,850,024, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 37 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,019,256
Proper Divisor Sum 6,850,024
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6169231 ← → #6169259

Radix Representation

Decimal 6169232
Binary 10111100010001010010000 (23 bits)
Octal 0o27421220
Hexadecimal 0x5E2290

Divisor Catalog (40)

1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 613 629 1,226 1,258 2,452 2,516 4,904 5,032 9,808 10,064 10,421 20,842 22,681 41,684 45,362 83,368 90,724 166,736 181,448 362,896 385,577 771,154 1,542,308 3,084,616 6,169,232

Collatz Trajectory (196 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,169,232 3,084,616 1,542,308 771,154 385,577 1,156,732 578,366 289,183 867,550 433,775 1,301,326 650,663 1,951,990 975,995 2,927,986 1,463,993 4,391,980 2,195,990 1,097,995 3,293,986 1,646,993 4,940,980 2,470,490 1,235,245 3,705,736 1,852,868 926,434 463,217 1,389,652 694,826 347,413 1,042,240 521,120 260,560 130,280 65,140 32,570 16,285 48,856 24,428 12,214 6,107 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524

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